A distribuição log-logística exponenciada geométrica: dupla ativação / The exponentiated log-logistic geometric distribution: dual activation

AUTOR(ES)
FONTE

IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia

DATA DE PUBLICAÇÃO

18/09/2012

RESUMO

In this work, we propose a new distribution with four parameters the so called exponentiated log-logistic geometric distribution based on a double mechanism of activation for modeling lifetime data. For this new distribution, we study the density function, cumulative distribution, survival function and the failure rate function which allows major harzad rates: increasing, decreasing, bathtub, unimodal and bimodal failure rates. We also obtain the density function expansions and the expressions for the probability-weighted moments, moment generating function, mean deviation and Bonferroni and Lorenz curves. Considering censored data, we use the maximum likelihood method for estimating the parameters. Similarly, we also propose the regression model based on the logarithm of the exponentiated log-logistic geometric distribution with double activation, which is an extension of the exponential logistic and logistic regression models. This new model could be widely used in the analysis of real data to provide a better fit than exponetial logistic and logistic regression models. Finally, two applications are presented to illustrate the application of the new distribution.

ASSUNTO(S)

análise de sobrevivência censored data dados censurados distribuição geométrica distribuição log-logística failure rate function função de taxa de falha geometric distribution likelihood log-logisticdistribution modelos de regressão regressionmodel survival analysis verossimilhança

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